Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5201 | Find the long base $ a $ of a trapezoid if short base $b = 170\, \text{mm}$, height $h = 41.4\, \text{mm}$ and median $m = 207\, \text{mm}$. | 2 |
| 5202 | Find the long base $ a $ of a trapezoid if short base $b = 260\, \text{mm}$, height $h = 41.4\, \text{mm}$ and median $m = 314.5\, \text{mm}$. | 2 |
| 5203 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 5204 | Find the angle $ \beta $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 6\, \text{m}$. | 2 |
| 5205 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{mm}$, side $c = 65\, \text{mm}$ and height $h = 60\, \text{mm}$. | 2 |
| 5206 | Find the short base $ b $ of a trapezoid if long base $a = 70\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 65\, \text{mm}$ and height $h = 60\, \text{mm}$. | 2 |
| 5207 | Find the short base $ b $ of a trapezoid if long base $a = 70\, \text{mm}$, side $c = 60\, \text{mm}$ and height $h = 65\, \text{mm}$. | 2 |
| 5208 | Find the short base $ b $ of a trapezoid if long base $a = 75\, \text{mm}$, side $c = 68\, \text{mm}$ and height $h = 65\, \text{mm}$. | 2 |
| 5209 | Find the long base $ a $ of a trapezoid if short base $b = 17\, \text{mm}$ and side $c = 3\, \text{mm}$. | 2 |
| 5210 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 9\, \text{mm}$, side $c = 24\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 110^o$. | 2 |
| 5211 | Find the long base $ a $ of a trapezoid if short base $b = 212\, \text{mm}$, height $h = 220\, \text{mm}$ and angle $\beta = 101^o$. | 2 |
| 5212 | Find the long base $ a $ of a trapezoid if long base $a = 105\, \text{in}$, height $h = 81\, \text{in}$ and median $m = 17\, \text{in}$. | 2 |
| 5213 | Find the long base $ a $ of a trapezoid if side $c = 103\, \text{mm}$, height $h = 78\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5214 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{mm}$, side $c = 103\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5215 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 36\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 5216 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 15\, \text{mm}$ and angle $\alpha = 30^o$. | 2 |
| 5217 | Find the long base $ a $ of a trapezoid if long base $a = 450\, \text{cm}$, short base $b = 20\, \text{cm}$ and height $h = 15.24\, \text{cm}$. | 2 |
| 5218 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{ft}$, side $c = 5\, \text{ft}$, height $h = 4\, \text{ft}$ and area $A = 9\, \text{mm}^2$. | 2 |
| 5219 | Find the long base $ a $ of a trapezoid if long base $a = 400\, \text{mm}$, short base $b = 250\, \text{mm}$ and side $c = 650\, \text{mm}$. | 2 |
| 5220 | Find the long base $ a $ of a trapezoid if long base $a = 0.353\, \text{in}$, short base $b = 0.248\, \text{in}$ and height $h = 0.225\, \text{in}$. | 2 |
| 5221 | Find the long base $ a $ of a trapezoid if long base $a = 73.5\, \text{in}$ and side $c = 23\, \text{in}$. | 2 |
| 5222 | Find the angle $ \alpha $ of a trapezoid if long base $a = 73.5\, \text{in}$ and side $c = 23\, \text{in}$. | 2 |
| 5223 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 8\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 5224 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{m}$ and short base $b = 4\, \text{m}$. | 2 |
| 5225 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 5226 | Find the long base $ a $ of a trapezoid if short base $b = 30\, \text{in}$, side $c = 28\, \text{in}$, diagonal $d = 28\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 5227 | Find the height $ h $ of a trapezoid if long base $a = 10.875\, \text{in}$, short base $b = 10.625\, \text{in}$ and side $c = 4.25\, \text{in}$. | 2 |
| 5228 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 13\, \text{cm}$ and height $h = 8\, \text{cm}$. | 2 |
| 5229 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 9.5\, \text{in}$. | 2 |
| 5230 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{mm}$, short base $b = 10\, \text{mm}$, height $h = 32\, \text{mm}$ and area $A = 32\, \text{mm}^2$. | 2 |
| 5231 | Find the long base $ a $ of a trapezoid if long base $a = 25\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 32\, \text{mm}$. | 2 |
| 5232 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 10.5\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 5233 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 10.5\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 5234 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10.5\, \text{mm}$ and side $c = 14\, \text{mm}$. | 2 |
| 5235 | Find the height $ h $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and side $c = 12\, \text{mm}$. | 2 |
| 5236 | Find the height $ h $ of a trapezoid if long base $a = 34\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 32\, \text{mm}$. | 2 |
| 5237 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 15\, \text{mm}$ and side $c = 16\, \text{mm}$. | 2 |
| 5238 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 6\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 5239 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{mm}$, height $h = 4\, \text{mm}$ and area $A = 30\, \text{mm}^2$. | 2 |
| 5240 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{cm}$, height $h = 4\, \text{cm}$ and area $A = 30\, \text{cm}^2$. | 2 |
| 5241 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 3.2\, \text{mm}$ and area $A = 25.5\, \text{mm}^2$. | 2 |
| 5242 | Find the height $ h $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 3.2\, \text{mm}$ and area $A = 25.5\, \text{mm}^2$. | 2 |
| 5243 | Find the long base $ a $ of a trapezoid if short base $b = 1.42\, \text{m}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5244 | Find the side $ c $ of a trapezoid if short base $b = 1.42\, \text{m}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5245 | Find the height $ h $ of a trapezoid if short base $b = 1.42\, \text{m}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5246 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{mm}$, height $h = 2.5\, \text{mm}$ and angle $\alpha = 20^o$. | 2 |
| 5247 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 8\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5248 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 8\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5249 | Find the height $ h $ of a trapezoid if long base $a = 0.215\, \text{in}$, short base $b = 0.125\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 5250 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
